Researchers studied the association between birth mothers sm
Researchers studied the association between birth mother’s smoking habits and the birth weights of their babies. A sample of size n = 11 subjects was selected from each of the four groups.
Group 1 – nonsmokers
Group 2 – smokers who smoked less that 1 pack per day
Group 3 – smokers who smoke more than 1 Pack but less than 2 packs per day
Group 4 –smokers who smoke more than 2 packs per day.
The summary statistic of baby weights (in gram) are given as follows:
a) Find the degrees of freedoms
b) Find SSB and MSB
c) Find SSW and MSW
d) Find the numerical value of F statistic
e) Find the p-value (or a range from F table)
| nonsmokers | <1pack | 1-2packs | >2packs | |
|---|---|---|---|---|
| mean | 3649.73 | 3168.64 | 2554.73 | 1992.00 |
| standard deviation | 317.12 | 260.39 | 391.61 | 241.99 |
Solution
Let us prepare anova table as follows:
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